Question
$$2x^4+4x-\frac{5}{4} = 0$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} 2x^4+4x-\frac{5}{4} &= 0&& \text{multiply ALL terms by } \color{blue}{ 4 }. \\[1 em]4\cdot2x^4+4\cdot4x-4\cdot\frac{5}{4} &= 4\cdot0&& \text{cancel out the denominators} \\[1 em]8x^4+16x-5 &= 0&& \\[1 em] \end{aligned} $$
This polynomial has no rational roots that can be found using Rational Root Test.
Roots were found using quartic formulas
This page was created using
Polynomial Equations Solver